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Aleksandr [31]
2 years ago
5

Next → Post Test: The Pythagorean Theorem and Volume

Mathematics
1 answer:
Arte-miy333 [17]2 years ago
7 0
X= 95°
Y= 133°
Z= 128°
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In recent times, with mortgage rates at low levels, financial institutions have had to provide more customer convenience. One of
omeli [17]

Answer:

Step-by-step explanation:

Find attached the solution

6 0
3 years ago
One number is 7 more than another. The difference between their squares is 161. What are the numbers?
sergeinik [125]
X is 7 more than y
x>y then
difference betwen squares is 161 so


x=7+y
and
x²-y²=161

so
x=7+y
sub that for x in other equation

(7+y)²-y²=161
y²+14y+49-y²=161
14y+49=161
minus 49 both sides
14y=112
divide both sides by 14
y=8

sub back

x=7+y
x=7+8
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the numbers are 15 and 8
3 0
3 years ago
Read 2 more answers
Assuming that A and B represent any two​ sets, identify the statement as either always true or not always true.
Fudgin [204]

Step-by-step explanation:

True...it was Answer but not in always

8 0
2 years ago
Please help me with question number 2
Mice21 [21]

Answer:

2. The area of the side walk is approximately 217 m²

3. The distance away from the sprinkler the water can spread is approximately 11 feet

4. The area of the rug is 49.6

Step-by-step explanation:

2. The dimensions of the flower bed and the sidewalks are;

The diameter of the flower bed = 20 meters

The width of the circular side walk, x = 3 meters

Therefore, the diameter of the outer edge of the side walk, D, is given as follows

D = d + 2·x (The width of the side walk is applied to both side of the circular diameter)

∴ D  = 20 + 2×3 = 26

The area of the side walk = The area of the sidewalk and the side walk = The area of the flower bed

∴ The area of the side walk, A = π·D²/4 - π·d²/4

∴ A = 3.14 × 26²/4 - 3.14 × 20²/4 = 216.66

By rounding to the nearest whole number, the area of the side walk, A ≈ 217 m²

3. Given that the area formed by the circular pattern, A = 379.94 ft.², we have;

Area of a circle = π·r²

∴ Where 'r' represents how far it can spread, we have;

π·r² = 379.94

r = √(379.94 ft.²/π) ≈ 10.997211 ft.

Therefore, the distance away from the sprinkler the water can spread, r ≈ 11 feet

4. The circumference of the rug = 24.8 meters

The circumference of a circle, C = 2·π·r

Where;

r = The radius of the circle

π = 3.1

∴ For the rug of radius 'r', C = 2·π·r = 24.8

r = 24.8/(2·π) = 12.4/π = 12.4/3.1 = 4

The area = π·r²

∴ The area of the rug = 3.1 × 4² = 49.6.

8 0
2 years ago
The sale price of the new car was $14,500. The sales tax rate was 6.5 percent. What was the sale tax on the car?
elixir [45]
$942.50.

$14,500 x 0.065 = $942.50

6.5% = 0.065
3 0
3 years ago
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